The module Dfs for locally quasi-homogeneous free divisors

We find explicit free resolutions for the D-modules Dfs and D[s]fs/D[s]f s+1, where f is a reduced equation of a locally quasi-homogeneous free divisor. These results are based on the fact that every locally quasi-homogeneous free divisor is Koszul free, which is also proved in this paper.

Detalles Bibliográficos
Autores: Calderón Moreno, Francisco Javier, Narváez Macarro, Luis
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2002
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/46247
Acceso en línea:http://hdl.handle.net/11441/46247
https://doi.org/10.1023/A:1020228824102
Access Level:acceso abierto
Palabra clave:Free divisor
De Rham complex
D-module
Locally quasi-homogeneous
Koszul complex
Spencer complex
Ideal of linear type
Descripción
Sumario:We find explicit free resolutions for the D-modules Dfs and D[s]fs/D[s]f s+1, where f is a reduced equation of a locally quasi-homogeneous free divisor. These results are based on the fact that every locally quasi-homogeneous free divisor is Koszul free, which is also proved in this paper.